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Finding the Fourth Proportional to 382.17, 573.14 and 151.09

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Solution

The fourth proportional to 382.17, 573.14 and 151.09 is: 226.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.17 : 573.14 = 151.09 : x
  2. Step 2: Convert to fraction form
    382.17/573.14 = 151.09/x
  3. Step 3: Cross multiply
    382.17x = 573.14 × 151.09
  4. Step 4: Simplify right side
    382.17x = 86,595.72
  5. Step 5: Solve for x
    x = 86,595.72/382.17
  6. Step 6: Final answer
    x = 226.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.